An integral recursive inequality and applications

DOI10.1007/S11139-007-9071-3zbMath1133.26307OpenAlexW1987248382MaRDI QIDQ2426714

Arcadii Z. Grinshpan

Publication date: 23 April 2008

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9071-3

zbMATH Keywords

Beta functionfunctional equationsconvolutionsfractional integralsGamma functionconfluent hypergeometric functionsintegral transformationsrecursive inequalitiesbi-Hermitian forms

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Factorials, binomial coefficients, combinatorial functions (05A10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Inequalities for sums, series and integrals (26D15) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Inequalities in the complex plane (30A10)

Related Items (9)

Volterra convolution equations: solution–kernel connection ⋮ Weighted convolutions associated with probability functions and Bernstein polynomials ⋮ Weighted norm inequalities for analytic functions ⋮ Weighted inequalities and negative binomials ⋮ Weighted integral and integro-differential inequalities ⋮ Inequalities for formal power series and entire functions ⋮ Completely monotonic functions involving the gamma and $q$-gamma functions ⋮ A family of integral equations with restricted solutions ⋮ Integral inequalities for some special functions

Cites Work

• General inequalities, consequences and applications
• Inequalities generated by the gamma function
• Completely monotonic functions involving the gamma and $q$-gamma functions
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